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Least Common Multiple (LCM) of 163 and 49

The least common multiple (LCM) of 163 and 49 is 7987.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 163 and 49?

First, calculate the GCD of 163 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 163 ÷ 49 = 3 remainder 16
2 49 ÷ 16 = 3 remainder 1
3 16 ÷ 1 = 16 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 1723440
130 and 719230
120 and 200600
144 and 10915696
148 and 497252

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